2 papers
math.ST2026
Approximate Message Passing with Random Initialization for Phase Retrieval
Yuchen Chen, Yandi Shen, Xingyu Xu
We analyze approximate message passing (AMP) with an independent Gaussian initialization for noiseless phase retrieval in the proportional asymptotic regime. A random initializatio…
math.ST2025
Learning single index model with gradient descent: spectral initialization and precise asymptotics
Yuchen Chen, Yandi Shen
Non-convex optimization plays a central role in many statistics and machine learning problems. Despite the landscape irregularities for general non-convex functions, some recent wo…